To solve the given long division problem, we will divide 4967 by 98. Let's follow the long division steps:
Step 1: Setup the division
- 4967 (dividend) ÷ 98 (divisor)
Step 2: Determine how many times 98 fits into the leading part of 4967
- First, see if 98 fits into the first two digits, 49. It doesn't because 49 is less than 98.
- Now, consider the first three digits, 496.
Step 3: Estimate the quotient
- 98 goes into 496 multiple times. Let's see how many times:
- Estimate by rounding 98 (approximately 100): How many times does 100 fit into 496? About 4 to 5 times.
- Check with actual multiplication: 98 * 5 = 490, which is less than 496.
- So, 98 fits into 496 exactly 5 times.
Step 4: Calculate the first part of the quotient and subtract
- 5 × 98 = 490.
- Subtract 490 from 496: \( 496 - 490 = 6 \).
- Now bring down the next digit from 4967, which is 7, making it 67.
Step 5: Divide the remaining part
- Now, we have 67. See how many times 98 fits into 67.
- 98 is larger than 67, so it doesn't fit (0 times).
- Write 0 in the quotient and keep the remaining 67 as it is.
Combining the results:
- The quotient is computed from \( (first part) \times 10 + second part = 50 \).
- The remainder is 67.
Final Result:
When you divide 4967 by 98, the quotient is 50 and the remainder is 67.
